On Locally Conformally Kahler Threefolds with Algebraic Dimension Two

被引:2
|
作者
Angella, Daniele [1 ]
Parton, Maurizio [2 ]
Vuletescu, Victor [3 ]
机构
[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
[2] Univ G dAnnunzio, Dipartimento Econ, Viale Pineta 4, I-65129 Pescara, Italy
[3] Univ Bucharest, Fac Math & Informat, Acad St 14, Bucharest 010014, Romania
关键词
MINIMAL MODELS; COMPLEX;
D O I
10.1093/imrn/rnab362
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper is part of an attempt of understanding non-Kahler threefolds. We start by looking at compact complex non-Kahler threefolds with algebraic dimension two and admitting lcK metrics. Under certain assumptions, we prove that they are blown-up quasi-bundles over a projective surface.
引用
收藏
页码:3948 / 3969
页数:22
相关论文
共 50 条
  • [41] Locally conformally Kahler manifolds admitting a holomorphic conformal flow
    Ornea, Liviu
    Verbitsky, Misha
    MATHEMATISCHE ZEITSCHRIFT, 2013, 273 (3-4) : 605 - 611
  • [42] Non-linear Hopf Manifolds are Locally Conformally Kahler
    Ornea, Liviu
    Verbitsky, Misha
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (07)
  • [43] Compact complex manifolds bimeromorphic to locally conformally Kahler manifolds
    Shimobe, Hirokazu
    GEOMETRIAE DEDICATA, 2018, 197 (01) : 49 - 60
  • [44] LOCALLY CONFORMALLY KAHLER METRICS OBTAINED FROM PSEUDOCONVEX SHELLS
    Ornea, Liviu
    Verbitsky, Misha
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (01) : 325 - 335
  • [45] A semi-Kahler and locally conformally Hermitian-flat manifolds
    Yachou, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (03): : 225 - 228
  • [46] ON 4-DIMENSIONAL LOCALLY CONFORMALLY FLAT ALMOST KAHLER MANIFOLDS
    Krolikowski, Wieslaw
    ARCHIVUM MATHEMATICUM, 2006, 42 (03): : 215 - 223
  • [47] ABUNDANCE FOR KAHLER THREEFOLDS
    Campana, Frederic
    Hoering, Andreas
    Peternell, Thomas
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2016, 49 (04): : 971 - 1025
  • [48] Locally conformally Kahler metrics on certain non-Kahlerian surfaces
    Brunella, Marco
    MATHEMATISCHE ANNALEN, 2010, 346 (03) : 629 - 639
  • [49] An integral invariant from the view point of locally conformally Kahler geometry
    Futaki, Akito
    Hattori, Kota
    Ornea, Liviu
    MANUSCRIPTA MATHEMATICA, 2013, 140 (1-2) : 1 - 12
  • [50] From locally conformally Kahler to bi-Hermitian structures on non-Kahler complex surfaces
    Apostolov, Vestislav
    Bailey, Michael
    Dloussky, Georges
    MATHEMATICAL RESEARCH LETTERS, 2015, 22 (02) : 317 - 336